We will solve as follows:
*We have the equations:
[tex]9.50A+27.00B=4000[/tex]
&
[tex]A+B=200[/tex]
We solve then for the second equation [Either for A or B], that is:
[tex]A=200-B[/tex]
Now, we replace in the first equation and solve for B:
[tex]9.50(200-B)+27.00B=400\Rightarrow1900-9.50B+27.00B=4000[/tex][tex]=17.5B+1900=4000\Rightarrow17.5B=2100[/tex][tex]\Rightarrow B=120[/tex]
Now, we replace the value of B in the second equation:
[tex]A=200-(120)\Rightarrow A=80[/tex]
So, the investor has 80 shares on stock A and 120 shares on stock B.
